2.5 Polynomial Division Practice

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial of equal or lower degree, similar to long division with numbers.

Front

What is the quotient in polynomial division?

Back

The quotient is the result obtained from dividing one polynomial by another.

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial division that is used when dividing by a linear factor of the form (x - c).

Front

How do you find the remainder in polynomial division?

Back

The remainder can be found using the Remainder Theorem, which states that the remainder of the division of a polynomial f(x) by (x - c) is f(c).

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that if a polynomial f(x) is divided by (x - c), the remainder is f(c).

Front

What does it mean to factor a polynomial?

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Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

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What is the significance of the degree of a polynomial in division?

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The degree of a polynomial indicates the highest power of the variable in the polynomial, which determines the number of times it can be divided by another polynomial.

Front

What is the first step in polynomial long division?

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The first step is to divide the leading term of the dividend by the leading term of the divisor.

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What is a linear factor?

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A linear factor is a polynomial of degree one, typically in the form (x - c), where c is a constant.

Front

How do you check your work after polynomial division?

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You can check your work by multiplying the quotient by the divisor and adding the remainder; the result should equal the original polynomial.